Details

sample104.0ms

Algorithm

intervals

Results

35.0ms	602×	body	80	valid
33.0ms	604×	body	80	nan

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
17.0ms	(exp (/ (* t t) 2.0))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	443	614
1	1819	523
2	5001	520

prune235.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 0.1b

Counts

90 → 8

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `pow-exp` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

4.0ms	(pow (exp t) (/ t 2.0))
11.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(pow (exp t) (/ t 2.0))
187.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	495	663
1	2045	592
2	5003	592

prune256.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp t))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
24×	`associate-r`
20×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `associate-*l/`
10×	`sqrt-prod` `cbrt-unprod`
7×	`pow1`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`sqr-pow`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

2.0ms	(sqrt (exp t))
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
23.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp t))
241.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
269.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (sqrt (exp t)) (/ t 2.0))) (pow (sqrt (exp t)) (/ t 2.0)))
107.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	605	1514
1	2648	1255
2	5003	1255

prune329.0ms

Filtered

123 candidates to 73 candidates (59.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series431.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
25.0ms	(exp (/ (* t t) 2.0))
59.0ms	(* (- (* x 0.5) y) (sqrt z))
143.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	423	800
1	1954	683
2	5002	675

prune228.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

regimes585.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	18119×	body	80	valid
1.0s	18234×	body	80	nan

Details

sample104.0ms

simplify81.0ms

prune3.0ms

localize11.0ms

rewrite28.0ms

series307.0ms

simplify51.0ms

prune235.0ms

localize18.0ms

rewrite24.0ms

series343.0ms

simplify58.0ms

prune256.0ms

localize15.0ms

rewrite50.0ms

series629.0ms

simplify86.0ms

prune329.0ms

localize20.0ms

rewrite36.0ms

series431.0ms

simplify65.0ms

prune228.0ms

regimes585.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

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